The Tigers won twice as many football games as they lost. They played 96 games. How many games did the win?

1 Answer
Dec 7, 2016

They Tigers won 64 games.

Explanation:

Let's call the games the Tigers won #w# and the games they lost #l#.

With the information provided in the question we can write two equations we can solve using substitution:

Because we know they played 96 games we know we can add the wins and losses to equal 96:

#w + l = 96#

And, because we know they won twice as many games as they lost we can write:

#w = 2l#

Because the second equation is already in terms of #w# we can substitute #2l# for #w# in the first equation and solve for #l#:

#2l + l = 96#

#3l = 96#

#(3l)/3 = 96/3#

#l = 32#

We can now substitute #32# for #l# in the first equation and calculate #w#.

#w = 2 xx 32#

#w = 64#